41601600 has 252 divisors, whose sum is σ = 154771344. Its totient is φ = 10990080.

The previous prime is 41601589. The next prime is 41601611. The reversal of 41601600 is 610614.

41601600 is a `hidden beast` number, since 4 + 1 + 60 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (41601589) and next prime (41601611).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388747 + ... + 388853.

It is an arithmetic number, because the mean of its divisors is an integer number (614172).

Almost surely, 2^41601600 is an apocalyptic number.

41601600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77385672).

41601600 is an abundant number, since it is smaller than the sum of its proper divisors (113169744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41601600 is a wasteful number, since it uses less digits than its factorization.

41601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41601600 is about 6449.9302321808. The cubic root of 41601600 is about 346.5000843312.

The spelling of 41601600 in words is "forty-one million, six hundred one thousand, six hundred".